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Finding the Fourth Proportional to 32,143.52, 48,207.99 and 11,367.02

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Solution

The fourth proportional to 32,143.52, 48,207.99 and 11,367.02 is: 17,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.52 : 48,207.99 = 11,367.02 : x
  2. Step 2: Convert to fraction form
    32,143.52/48,207.99 = 11,367.02/x
  3. Step 3: Cross multiply
    32,143.52x = 48,207.99 × 11,367.02
  4. Step 4: Simplify right side
    32,143.52x = 547,981,186.49
  5. Step 5: Solve for x
    x = 547,981,186.49/32,143.52
  6. Step 6: Final answer
    x = 17,047.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.